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Finding the Fourth Proportional to 106,630, 147,162.40 and 61,918

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Solution

The fourth proportional to 106,630, 147,162.40 and 61,918 is: 85,454.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,630 : 147,162.40 = 61,918 : x
  2. Step 2: Convert to fraction form
    106,630/147,162.40 = 61,918/x
  3. Step 3: Cross multiply
    106,630x = 147,162.40 × 61,918
  4. Step 4: Simplify right side
    106,630x = 9,112,001,483.20
  5. Step 5: Solve for x
    x = 9,112,001,483.20/106,630
  6. Step 6: Final answer
    x = 85,454.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.